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LCM of 9494, 2068

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 9494, 2068 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9494, 2068. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9494,2068

Given numbers are 9494,2068

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 9494,2068 is 208868.

Find LCM of 9494,2068 with Prime Factorization


2 9494, 2068
47 4747, 1034
101, 22

Multiply the prime numbers at the bottom and the left side.

2 x 47 x 101 x 22 = 208868

Therefore, the lowest common multiple of 9494,2068 is 208868.

LCM Formula to Find Lowest Common Multiple of 9494,2068

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

9494 x 2068 = 19633592

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

9494 : 1, 2, 47, 94, 101, 202, 4747, 9494

2068 : 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

94 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9494,2068, is 94.

Now, the common factors can be found like this.

9494:2x 47x 101

2068:2x 2x 11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 19633592/(94x1)

LCM = 19633592/94

LCM = 208868

Thus, we can understand that the LCM of 9494,2068 is 208868.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9494, 2068

1. What is the LCM of 9494, 2068?

Answer: LCM of 9494, 2068 is 208868.

2. How to calculate the LCM of 9494, 2068?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9494, 2068.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.